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Short Solutions to Nonlinear Systems of Equations
signature scheme hard problem post-quantum
2017/12/6
This paper presents a new hard problem for use in cryptography, called Short Solutions to Nonlinear Equations (SSNE). This problem generalizes the Multivariate Quadratic (MQ) problem by requiring the ...
2018年非线性系统辨识与控制专题会议（Special Session on Nonlinear Systems Identification and Control）
2018年 非线性系统辨识 控制 专题会议
2017/11/27
This special session deals with the problem of machines command. The goal is to discuss the nonlinear problems. Particular attention will be devotedidentification. Then, the session will explore rece...
In natural systems (such as those in natural world) and manmade systems (such as those in
engineering applications), nonlinearity, one of the fundamental characteristics exhibited in simple and
comp...
Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems
Robustness Properties Nonlinear Systems Absolute Stability Linear Systems
2015/9/29
Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems.
A polynomial-time algorithm for determining quadratic Lyapunov functions for nonlinear systems
Nonlinear systems quadratic lyapunov function and convex programming function
2015/8/12
We consider nonlinear systems dx/dt=f(x(t)) where Df(x(t)) is known to lie in the convex hull of L n times n matrices A_1,ldots,A_L. For such systems, quadratic Lyapunov functions can be determined us...
A polynomial-time algorithm for determining quadratic Lyapunov functions for nonlinear systems
polynomial-time algorithm determining quadratic Lyapunov functions nonlinear systems
2015/7/13
We consider nonlinear systems dx/dt=f(x(t)) where Df(x(t)) is known to lie in the convex hull of L n times n matrices A_1,ldots,A_L. For such systems, quadratic Lyapunov functions can be determined us...
Empirical Model Reduction of Controlled Nonlinear Systems
Controlled Nonlinear Systems Model Reduction
2015/6/19
In this paper we introduce a new method of model reduction for nonlinear systems with inputs and outputs. The method requires only standard matrix computations, and when applied to linear systems resu...
An Improved Data Assimilation Scheme for High Dimensional Nonlinear Systems
Bayesian Estimation Ensemble Data Assimilation Gaussian Sum Expansion Environmental Control
2012/9/17
Nonlinear/non-Gaussian ltering has broad applications in many areas of life sciences where either the dynamic is nonlinear and/or the probability density function of un-certain state is non-Gaussian....
Empirical Estimators for Stochastically Forced Nonlinear Systems: Observability, Controllability and the Invariant Measure
Empirical Estimators Stochastically Forced Nonlinear Systems Invariant Measure Optimization and Control
2012/4/18
We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation tha...
Nonexistence of formal first integrals for nonlinear systems under resonance
Non-integrability Resonance First integral Normal form
2011/10/12
In this paper, by using normal form theory we give some criteria of nonexistence of formal first integrals for general nonlinear systems under resonance. As application, we also give a criterion for n...
A modification of the method of characteristics: a new class of multidimensional partially integrable nonlinear systems
modification of the method of characteristics new class of multidimensional partially integrable nonlinear systems
2010/12/28
We represent an algorithm reducing a big class of systems of (M + 1)-dimensional scalar nonlinear partial differential equations (PDEs) to the systems ofM-dimensional first order PDEs. Thus, we integr...
Symmetries, Stability, and Control in Nonlinear Systems and Networks
Nonlinear Systems Networks math
2010/11/8
This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and eq...
Robust feedback design for nonlinear systems: a survey
Robust feedback design nonlinear systems
2010/10/12
A central problem in control theory is the design of feedback controllers so as to have certain outputs of a given plant to track prescribed reference trajectories. In any realistic scenario, this con...
One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
Parameter Scaling Stationary States of Disordered Nonlinear Systems
2010/4/6
We show, using detailed numerical analysis and theoretical arguments, that the normalized participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scalin...
One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
One Parameter Scaling Disordered Nonlinear Systems Stationary States
2010/4/6
We show, using detailed numerical analysis and theoretical arguments, that the normalized participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scalin...